library(BSFG)
seed = 1 # for reproducibility
nSire = 50 # simulation design is a half-sib design: each of nSire fathers has nRep children, each with a different female
nRep = 10
nTraits = 100
nFixedEffects = 2 # fixed effects are effects on the factors
nFactors = 10
factor_h2s = c(rep(0,nFactors/2),rep(0.9,nFactors/2)) # factor_h2 is the % of variance in each factor trait that is explained by additive genetic variation.
# The is after accounting for the fixed effects on the factors
Va = 2 # residual genetic variance in each of the observed traits after accounting for the factors
Ve = 2 # residual microenvironmental variance in each of the observed traits after accounting for the factors
Vb = 0 # magnitude of the fixed effects (just factors)
new_halfSib_simulation('Sim_FE_1', nSire=nSire,nRep=nRep,p=nTraits, b=nFixedEffects, factor_h2s= factor_h2s,Va = Va, Ve = Ve,Vb = Vb)
set.seed(seed)
load('setup.RData')
Y = setup$Y
data = setup$data
K = setup$K
Y[1:(nrow(Y)*3/4),1:(ncol(Y)/4)] = NA
# Y[(nrow(Y)/4)+1:(nrow(Y)/4),(ncol(Y)/4)+1:(ncol(Y)/4)] = NA
# Y[2*(nrow(Y)/4)+1:(nrow(Y)/4),2*(ncol(Y)/4)+1:(ncol(Y)/4)] = NA
# Y[3*(nrow(Y)/4)+1:(nrow(Y)/4),3*(ncol(Y)/4)+1:(ncol(Y)/4)] = NA
run_parameters = BSFG_control(
num_NA_groups = 3,
scale_Y = FALSE, # should the columns of Y be re-scaled to have mean=0 and sd=1?
simulation = TRUE, # Are you running against simulated data (ex from a call to new_halfSib_simulation above)? If so, you can provide the setup list and it will make some QC plots
h2_divisions = 20, # Each variance component is allowed to explain between 0% and 100% of the total variation. How many segments should the range [0,100) be divided into for each random effect?
h2_step_size = NULL, # if NULL, all possible values of random effects are tried each iteration. If in (0,1), a new candidate set of random effect proportional variances is drawn uniformily with a range of this size
burn = 00, # number of burn in samples before saving posterior samples
K = 15 # number of factors
)
priors = BSFG_priors(
tot_Y_var = list(V = 0.5, nu = 5), # Prior variance of trait residuals after accounting for fixed effects and factors
tot_F_var = list(V = 18/20, nu = 20), # Prior variance of factor traits. This is included to improve MCMC mixing, but can be turned off by setting nu very large
Lambda_prior = list(
sampler = sample_Lambda_prec_horseshoe,
prop_0 = 0.1,
delta_l = list(shape = 3, rate = 1),
delta_iterations_factor = 100
),
B2_prior = list(
sampler = sample_B2_prec_horseshoe,
prop_0 = 0.1
),
cis_effects_prior = list(
prec = 1
),
h2_priors_resids_fun = function(h2s,n) 1, # Function that returns the prior density for any value of the h2s vector (ie the vector of random effect proportional variances across all random effects. 1 means constant prior. Alternative: pmax(pmin(ddirichlet(c(h2s,1-sum(h2s)),rep(2,length(h2s)+1)),10),1e-10),
h2_priors_factors_fun = function(h2s,n) 1 # See above. Another choice is one that gives 50% weight to h2==0: ifelse(h2s == 0,n,n/(n-1))
)
options(error=recover)
BSFG_state = setup_model_BSFG(Y, # n x p data matrix
~(1|animal), # RHS of base model for factors and residuals. Fixed effects defined here only apply to the factor residuals.
extra_regressions = list(X = model.matrix(~Fixed1,data)[,-1,drop=FALSE],factors=T,resids=F), # design matrix for additional fixed effects. These coefficients will be regularized with the B2_prior above. The same model can be used for both factors and resids
data, # the data.frame with information for constructing the model matrices
relmat = list(animal = K), # covariance matrices for the random effects. If not provided, assume uncorrelated
run_parameters=run_parameters,
setup = setup, # only if running simulated data. Stores simulated values for comparison
run_ID = 'BSFG_example'
)
'BSFG_example' already exists
maps = make_Missing_data_map(BSFG_state,50,0,T)
iter N_groups max_group_size total_kept_NAs
1 2 2 125 0
BSFG_state = set_Missing_data_map(BSFG_state,maps$Missing_data_map_list[[maps$map_results$iter[which(maps$map_results$total_kept_NAs ==0)[1]]]])
BSFG_state = set_priors_BSFG(BSFG_state,priors)
BSFG_state = initialize_variables_BSFG(BSFG_state)
[1] "initializing Lambda_prec regularized horseshoe"
[1] "initializing B_prec regularized horseshoe"
BSFG_state = initialize_BSFG(BSFG_state)
[1] "Pre-calculating random effect inverse matrices for 2 groups of traits and 20 sets of random effect weights"
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BSFG_state = clear_Posterior(BSFG_state)
n_samples = 200; # how many samples to collect at once?
for(i in 1:70) {
print(sprintf('Run %d',i))
BSFG_state = sample_BSFG(BSFG_state,n_samples,grainSize=1) # run MCMC chain n_samples iterations. grainSize is a paramter for parallelization (smaller = more parallelization)
BSFG_state = save_posterior_chunk(BSFG_state) # save any accumulated posterior samples in the database to release memory
print(BSFG_state) # print status of current chain
plot(BSFG_state) # make some diagnostic plots. These are saved in a pdf booklet: diagnostic_plots.pdf
# set of commands to run during burn-in period to help chain converge
if(BSFG_state$current_state$nrun < BSFG_state$run_parameters$burn || i < 10) {
BSFG_state = reorder_factors(BSFG_state,drop_cor_threshold = 0.6) # Factor order doesn't "mix" well in the MCMC. We can help it by manually re-ordering from biggest to smallest
BSFG_state = clear_Posterior(BSFG_state)
print(BSFG_state$run_parameters$burn)
}
}
[1] "Run 1"
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Time difference of 5.461753 secs
Current iteration: 200, Posterior_samples: 100
Current factor dimension: 15 factors
Total time: 5.461753 secs
[1] 200
[1] "Run 2"
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Current iteration: 400, Posterior_samples: 100
Current factor dimension: 15 factors
Total time: 10.73399 secs
[1] 400
[1] "Run 3"
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Current iteration: 600, Posterior_samples: 100
Current factor dimension: 15 factors
Total time: 15.9297 secs
[1] 600
[1] "Run 4"
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Current iteration: 800, Posterior_samples: 100
Current factor dimension: 15 factors
Total time: 21.17754 secs
[1] 800
[1] "Run 5"
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Time difference of 5.169021 secs
Current iteration: 1000, Posterior_samples: 100
Current factor dimension: 15 factors
Total time: 26.34656 secs
[1] 1000
[1] "Run 6"
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Time difference of 5.19673 secs
Current iteration: 1200, Posterior_samples: 100
Current factor dimension: 15 factors
Total time: 31.54329 secs
[1] 1200
[1] "Run 7"
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Time difference of 5.396714 secs
Current iteration: 1400, Posterior_samples: 100
Current factor dimension: 15 factors
Total time: 36.94 secs
[1] 1400
[1] "Run 8"
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Current iteration: 1600, Posterior_samples: 100
Current factor dimension: 15 factors
Total time: 42.27738 secs
[1] 1600
[1] "Run 9"
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Time difference of 5.398423 secs
Current iteration: 1800, Posterior_samples: 100
Current factor dimension: 15 factors
Total time: 47.6758 secs
[1] 1800
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Time difference of 5.180273 secs
Current iteration: 2000, Posterior_samples: 100
Current factor dimension: 15 factors
Total time: 52.85608 secs
[1] "Run 11"
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Time difference of 5.71851 secs
Current iteration: 2200, Posterior_samples: 200
Current factor dimension: 15 factors
Total time: 58.57458 secs
[1] "Run 12"
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Current iteration: 2400, Posterior_samples: 300
Current factor dimension: 15 factors
Total time: 1.065598 mins
[1] "Run 13"
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Time difference of 4.924132 secs
Current iteration: 2600, Posterior_samples: 400
Current factor dimension: 15 factors
Total time: 1.147667 mins
[1] "Run 14"
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Time difference of 4.918461 secs
Current iteration: 2800, Posterior_samples: 500
Current factor dimension: 15 factors
Total time: 1.229641 mins
[1] "Run 15"
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Time difference of 4.845258 secs
Current iteration: 3000, Posterior_samples: 600
Current factor dimension: 15 factors
Total time: 1.310395 mins
[1] "Run 16"
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Current iteration: 3200, Posterior_samples: 700
Current factor dimension: 15 factors
Total time: 1.392383 mins
[1] "Run 17"
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Time difference of 5.044489 secs
Current iteration: 3400, Posterior_samples: 800
Current factor dimension: 15 factors
Total time: 1.476458 mins
[1] "Run 18"
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Time difference of 4.90688 secs
Current iteration: 3600, Posterior_samples: 900
Current factor dimension: 15 factors
Total time: 1.558239 mins
[1] "Run 19"
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Time difference of 4.806394 secs
Current iteration: 3800, Posterior_samples: 1000
Current factor dimension: 15 factors
Total time: 1.638346 mins
[1] "Run 20"
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Current iteration: 4000, Posterior_samples: 1100
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Total time: 1.719325 mins
[1] "Run 21"
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Current iteration: 4200, Posterior_samples: 1200
Current factor dimension: 15 factors
Total time: 1.80044 mins
[1] "Run 22"
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Time difference of 4.796507 secs
Current iteration: 4400, Posterior_samples: 1300
Current factor dimension: 15 factors
Total time: 1.880382 mins
[1] "Run 23"
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Time difference of 4.874933 secs
Current iteration: 4600, Posterior_samples: 1400
Current factor dimension: 15 factors
Total time: 1.961631 mins
[1] "Run 24"
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Total time: 2.04479 mins
[1] "Run 25"
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Current iteration: 5000, Posterior_samples: 1600
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[1] "Run 26"
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Current iteration: 5200, Posterior_samples: 1700
Current factor dimension: 15 factors
Total time: 2.208671 mins
[1] "Run 27"
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Time difference of 4.860971 secs
Current iteration: 5400, Posterior_samples: 1800
Current factor dimension: 15 factors
Total time: 2.289688 mins
[1] "Run 28"
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Current iteration: 5600, Posterior_samples: 1900
Current factor dimension: 15 factors
Total time: 2.370728 mins
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Current iteration: 5800, Posterior_samples: 2000
Current factor dimension: 15 factors
Total time: 2.449516 mins
[1] "Run 30"
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Time difference of 4.93302 secs
Current iteration: 6000, Posterior_samples: 2100
Current factor dimension: 15 factors
Total time: 2.531733 mins
[1] "Run 31"
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Time difference of 4.825589 secs
Current iteration: 6200, Posterior_samples: 2200
Current factor dimension: 15 factors
Total time: 2.612159 mins
[1] "Run 32"
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Current iteration: 6600, Posterior_samples: 2400
Current factor dimension: 15 factors
Total time: 2.77557 mins
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Current iteration: 6800, Posterior_samples: 2500
Current factor dimension: 15 factors
Total time: 2.856824 mins
[1] "Run 35"
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Time difference of 4.819959 secs
Current iteration: 7000, Posterior_samples: 2600
Current factor dimension: 15 factors
Total time: 2.937156 mins
[1] "Run 36"
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Current iteration: 7200, Posterior_samples: 2700
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Total time: 3.020052 mins
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Current iteration: 7400, Posterior_samples: 2800
Current factor dimension: 15 factors
Total time: 3.102298 mins
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Current iteration: 7600, Posterior_samples: 2900
Current factor dimension: 15 factors
Total time: 3.184325 mins
[1] "Run 39"
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Current iteration: 7800, Posterior_samples: 3000
Current factor dimension: 15 factors
Total time: 3.263718 mins
[1] "Run 40"
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Current iteration: 8200, Posterior_samples: 3200
Current factor dimension: 15 factors
Total time: 3.422869 mins
[1] "Run 42"
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Current iteration: 8400, Posterior_samples: 3300
Current factor dimension: 15 factors
Total time: 3.501435 mins
[1] "Run 43"
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Current iteration: 8600, Posterior_samples: 3400
Current factor dimension: 15 factors
Total time: 3.581497 mins
[1] "Run 44"
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Current iteration: 9000, Posterior_samples: 3600
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Total time: 3.74717 mins
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Current iteration: 9200, Posterior_samples: 3700
Current factor dimension: 15 factors
Total time: 3.82973 mins
[1] "Run 47"
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Time difference of 4.269113 secs
Current iteration: 9400, Posterior_samples: 3800
Current factor dimension: 15 factors
Total time: 3.900882 mins
[1] "Run 48"
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Current iteration: 9600, Posterior_samples: 3900
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Total time: 3.974635 mins
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Current iteration: 9800, Posterior_samples: 4000
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Total time: 4.047694 mins
[1] "Run 50"
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Current iteration: 10000, Posterior_samples: 4100
Current factor dimension: 15 factors
Total time: 4.124425 mins
[1] "Run 51"
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Current iteration: 10200, Posterior_samples: 4200
Current factor dimension: 15 factors
Total time: 4.198377 mins
[1] "Run 52"
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Current iteration: 10400, Posterior_samples: 4300
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Total time: 4.272515 mins
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Current iteration: 10600, Posterior_samples: 4400
Current factor dimension: 15 factors
Total time: 4.346165 mins
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Current iteration: 10800, Posterior_samples: 4500
Current factor dimension: 15 factors
Total time: 4.420455 mins
[1] "Run 55"
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Current iteration: 11000, Posterior_samples: 4600
Current factor dimension: 15 factors
Total time: 4.491607 mins
[1] "Run 56"
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Total time: 4.56267 mins
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Current iteration: 11400, Posterior_samples: 4800
Current factor dimension: 15 factors
Total time: 4.636312 mins
[1] "Run 58"
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Current iteration: 11600, Posterior_samples: 4900
Current factor dimension: 15 factors
Total time: 4.7102 mins
[1] "Run 59"
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Current iteration: 11800, Posterior_samples: 5000
Current factor dimension: 15 factors
Total time: 4.780478 mins
[1] "Run 60"
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Current iteration: 12000, Posterior_samples: 5100
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Total time: 4.863803 mins
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Current iteration: 12200, Posterior_samples: 5200
Current factor dimension: 15 factors
Total time: 4.935471 mins
[1] "Run 62"
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Current iteration: 12400, Posterior_samples: 5300
Current factor dimension: 15 factors
Total time: 5.007227 mins
[1] "Run 63"
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Time difference of 4.424619 secs
Current iteration: 12600, Posterior_samples: 5400
Current factor dimension: 15 factors
Total time: 5.080971 mins
[1] "Run 64"
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Current iteration: 12800, Posterior_samples: 5500
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Total time: 5.151814 mins
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Current iteration: 13000, Posterior_samples: 5600
Current factor dimension: 15 factors
Total time: 5.224951 mins
[1] "Run 66"
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Current iteration: 13200, Posterior_samples: 5700
Current factor dimension: 15 factors
Total time: 5.295001 mins
[1] "Run 67"
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Current iteration: 13400, Posterior_samples: 5800
Current factor dimension: 15 factors
Total time: 5.370417 mins
[1] "Run 68"
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Time difference of 5.562619 secs
Current iteration: 13600, Posterior_samples: 5900
Current factor dimension: 15 factors
Total time: 5.463127 mins
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Time difference of 4.332948 secs
Current iteration: 13800, Posterior_samples: 6000
Current factor dimension: 15 factors
Total time: 5.535343 mins
[1] "Run 70"
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Time difference of 4.721933 secs
Current iteration: 14000, Posterior_samples: 6100
Current factor dimension: 15 factors
Total time: 5.614042 mins